10837313 has 4 divisors (see below), whose sum is σ = 11474820. Its totient is φ = 10199808.

The previous prime is 10837303. The next prime is 10837349. The reversal of 10837313 is 31373801.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31373801 = 211 ⋅148691.

It can be written as a sum of positive squares in 2 ways, for example, as 8456464 + 2380849 = 2908^2 + 1543^2 .

It is a cyclic number.

It is not a de Polignac number, because 10837313 - 2⁶ = 10837249 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10837303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318728 + ... + 318761.

It is an arithmetic number, because the mean of its divisors is an integer number (2868705).

Almost surely, 2^10837313 is an apocalyptic number.

It is an amenable number.

10837313 is a deficient number, since it is larger than the sum of its proper divisors (637507).

10837313 is an equidigital number, since it uses as much as digits as its factorization.

10837313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637506.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 10837313 is about 3292.0074422759. The cubic root of 10837313 is about 221.2961570740.

The spelling of 10837313 in words is "ten million, eight hundred thirty-seven thousand, three hundred thirteen".